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Simplifying 7(2a + -1b) + -7(2b + -8a) = 0 (2a * 7 + -1b * 7) + -7(2b + -8a) = 0 (14a + -7b) + -7(2b + -8a) = 0 Reorder the terms: 14a + -7b + -7(-8a + 2b) = 0 14a + -7b + (-8a * -7 + 2b * -7) = 0 14a + -7b + (56a + -14b) = 0 Reorder the terms: 14a + 56a + -7b + -14b = 0 Combine like terms: 14a + 56a = 70a 70a + -7b + -14b = 0 Combine like terms: -7b + -14b = -21b 70a + -21b = 0 Solving 70a + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 70a + -21b + 21b = 0 + 21b Combine like terms: -21b + 21b = 0 70a + 0 = 0 + 21b 70a = 0 + 21b Remove the zero: 70a = 21b Divide each side by '70'. a = 0.3b Simplifying a = 0.3b
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